Exam 30: Nuclear Physics

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A β+ particle is also known as

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In the fission reaction 235U + 1n → 141Ba + 92Kr + x 1n, what is the number x of neutrons produced?

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A β- decay occurs in an unstable nucleus when

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Consider the nuclear reaction 714N+24He→817O+11H^{14}_{7}N + ^{4}_{2} He → ^{17}_{8} O + ^{1} _{1} H . The known atomic masses are 714N:14.003074 u 24He:4.002603 u 11H:1.007825u 817O:16.999131u^{14} _{7} N: 14.003074\ u\ ^{4}_{2} He: 4.002603\ u\ ^{1} _{1} H: 1.007825 u\ ^{17}_{8} O: 16.999131 u What is the Q-value (or reaction energy) of this reaction? (1 u = 931.5 MeV/c2)

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If a 2.0-MeV neutron released in a fission reaction loses half its kinetic energy in each moderator collision, how many collisions are needed to reduce its kinetic energy to 1/25 eV?

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If a Σ- particle at rest decays into a neutron and a π- , what is the total kinetic energy of the decay products? The masses of Σ-, neutron, and π- are 1197 MeV/c2, 940 MeV/c2, and 140 MeV/c2, respectively.

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One material used in nuclear bombs is 239Pu, with a half-life of 24,000 years. How long must we wait for a buried stockpile of this substance to decay to 1/1000 of its original activity?

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What are the possible charges of a quark (not an antiquark)?

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The stability of 611C^{11} _{6}C with respect to alpha, beta-plus and beta-minus decay is to be determined. The following atomic masses are known: 24^{4}_{2} He: 4.002603 u 47^{7}_{4} Be: 7.016928 u 511 ^{11} _{5} B: 11.009305 u 611^{11} _{6} C: 11.011433 u 711^{11} _{7} N: 11.026742 u The 611^{11} _{6} C nucleus is

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When a neutron collides with a uranium-235 nucleus it can induce a variety of fission reactions. One such reaction is 92235^{235}_{92} U + 01^{1}_{0} n → 54140^{140}_{54} Xe + 3894^{94}_{38} Sr + 2 01^{1}_{0} n The following mass values are known: 54140^{140}_{54} Xe: 139.921620 u 3894^{94}_{38} Sr: 93.915367 u 92235^{235}_{92} U: 235.043924 u 01^{1}_{0} n: 1.008665 u What mass of uranium is needed to produce a 10-kiloton yield? (1 u = 931.5 MeV/c2 = 1.66054 × 10-27 kg, 1-kiloton yield = 5.0 × 1012 J)

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A thallium source with a half-life of 3.7 years was certified at 10 kBq ten years ago. What is its activity now?

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Fermium-253 has a half-life of 3.00 days. A sample of fermium has 3.88 × 106 nuclei. What is the initial activity of this sample?

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The following masses are known: 01^{1}_{0} n 1.008665 u 11^{1}_{1} H 1.007825 u 88226^{226}_{88} Ra 226.025403 u What is the binding energy of 88226^{226}_{88} Ra? (1 u = 931.5MeV/c2)

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An excited 92236^{236}_{92} U* nucleus undergoes fission into two fragments as follows: 92236^{236}_{92} U*→ 56144^{144}_{56} Ba + 3692^{92}_{36} Kr The following atomic masses are known: 3692^{92}_{36} Kr: 91.926270 u 56144^{144}_{56} Ba: 143.922845 u 92236^{236}_{92} U*: 236.045563 u What is the reaction energy released during this fission reaction? (1 u = 931.5 MeV/c2)

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Today, uranium contains 0.72%0.72 \% 235U235 \mathrm { U } (half-life = 0.70 billion years) and 99.28%99.28 \% 238U{ } ^ { 238 } \mathrm { U } (half-life = 4.5 billion years). At a time 1.9 billion years ago, what was the fraction of 235U235 \mathrm { U } in uranium?

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What are the mass number A and the charge (in units of e) for each of the following particles or rays? (a) beta-plus (b) beta-minus (c) gamma ray

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Two radioactive isotopes, X and Y, both decay to stable products. The half-life of X is about a day, while that of Y is about a week. Suppose a radioactive sample consists of a mixture of these two nuclides. If the mixture is such that the activities arising from X and Y are initially equal, then a few days later the activity of the sample will be due

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A radioactive source emits 2.4-MeV neutrons at the rate of 7100 neutrons per second. The number of atoms in the source is 2.6×1092.6 \times 10 ^ { 9 } What is the activity of the source, in curies (Ci)? (1.00 Ci = 3.70 × 1010 Bq)

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Suppose that starting with 89227^{227}_{89} , the following sequence of decays occurs: first an alpha decay, then a beta-minus decay, and finally another alpha decay. What isotope is left after each one of the decays?

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A nuclear explosion results in a mass decrease of 2.10 g2.10 \mathrm {~g} How much energy is released during this explosion? (c = 3.00 × 108 m/s)

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